Which expression is equivalent to 9+8 xn? 0 72n O 9 + 8n 17 xn 0 9x (8 + n)

Find the length of arc AD. Use 3.14 for .

Alexxandr [17]

Answer:

Length of arc AD = 15.7 cm

Step-by-step explanation:

Length of arc = $\frac{\theta}{360}(2\pi r)$

Here, θ = Central angle subtended by the arc

r = radius of the circle

From the picture attached,

Central angle subtended by arc AD = 360° - (180° + 66.4°)

= 113.6°

Length of arc AD = $\frac{(113.6)}{360}(2\pi )(7.9)$

= $\frac{113.6}{360}(2)(3.14)(7.9)$

= 15.655 cm

≈ 15.7 cm

Length of arc AD = 15.7 cm

6 0

3 years ago

Justin has 20 pencils, 25 erasers, and 40 paper clips. He organizes them into groups with the same numer of items in each group.

Nat2105 [25]

I will be honest im not sure but i think its 28

5 0

2 years ago

Read 2 more answers

How far does a horse travel if it gallops at an average speed of 25 km/h for 30 min?

marishachu [46]

Answer:

12.5 km.

Step-by-step explanation:

Distance = average speed x time = 25 km/h x 0.5 h = 12.5 km.

if wrong, sorry

(but most likely right)

4 0

2 years ago

How do you write 9/100 as a decimal? 0.09 9.0 0.9

ANTONII [103]

The first one is correct

6 0

2 years ago

Read 2 more answers

Solve the Anti derivative.

Alex Ar [27]

Answer:

$\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C$

General Formulas and Concepts:

Algebra I

Factoring

Calculus

Antiderivatives - integrals/Integration

Integration Constant C

U-Substitution

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Trig Integration: $\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C$

Step-by-step explanation:

Step 1: Define

$\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx$

Step 2: Integrate Pt. 1

[Integral] Factor fraction denominator: $\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx$
[Integral] Integration Property - Multiplied Constant: $\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx$

Step 3: Identify Variables

Set up u-substitution for the arctan trig integration.

$\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx$

Step 4: Integrate Pt. 2

[Integral] Substitute u-du: $\displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du$
[Integral] Trig Integration: $\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C$
[Integral] Simplify: $\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C$
[integral] Multiply: $\displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C$
[Integral] Back-Substitute: $\displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C$

Topic: AP Calculus AB

Unit: Integrals - Arctrig

Book: College Calculus 10e

7 0

2 years ago